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Proof step 14 from proof fits-put-other (previous step)

sks0 = sk1 + sks2, st[r -- sk0] = refval(r1), st[r -- sks0] .refval = st[r1 -- sks] .refval, sks0 + sk ' ⊑ sk0 ' + sks, r ≠ st[r1 -- sks] .refval ∨ sk0 ≠ sk, is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), sks2 + sk ' ⊑ sks → st[r1 -- sks2] .refval ≠ st[r1 -- sks] .refval ⊦ sks0 = [], sks = [], fits(r1, sks + sk ' + sks1, st[st[r1 -- sks] .refval -- sk, val]) ↔ fits(r1, sks + sk ' + sks1, st), (is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval) ∧ fits(r1, sks + sk ' + sks1, st[st[r1 -- sks] .refval -- sk, val]) ↔ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk0) ∧ ¬ sk0 .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk0 .index) ∧ fits(r1, sks + sk ' + sks1, st), sk = _type, sk = _length, r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- (sk0 ' + sks2)] .refval = st[r1 -- sks] .refval, st[r -- sk0] = refval(r1), sks2 + sk ' ⊑ sks, is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), r ≠ st[r1 -- sks] .refval ∨ sk0 ≠ sk ⊦ st[r1 -- sks2] .refval = st[r1 -- sks] .refval, r = jvmref, sk = _length, sk = _type, (is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval) ∧ fits(r1, sks + sk ' + sks1, st[st[r1 -- sks] .refval -- sk, val]) ↔ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk0) ∧ ¬ sk0 .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk0 .index) ∧ fits(r1, sks + sk ' + sks1, st), fits(r1, sks + sk ' + sks1, st[st[r1 -- sks] .refval -- sk, val]) ↔ fits(r1, sks + sk ' + sks1, st), sks = []

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list-last, storekeys, ins-01, ⊦ sk ' + sks ⊑ sk0 ' + sks0 ↔ sk = sk0 ∧ sks ⊑ sks0], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-01, ⊦ sk ' + sks ≠ []], [CSIMPNAMEDSEQ : list, storekeys, c, ⊦ sk + sks = sk ' + sks])]]